78334663680 has 1056 divisors, whose sum is σ = 345232281600. Its totient is φ = 16493248512.

The previous prime is 78334663679. The next prime is 78334663709. The reversal of 78334663680 is 8636643387.

78334663680 is a `hidden beast` number, since 78 + 3 + 3 + 466 + 36 + 80 = 666.

It is a super-2 number, since 2×78334663680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163537681 + ... + 163538159.

Almost surely, 2^78334663680 is an apocalyptic number.

78334663680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78334663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172616140800).

78334663680 is an abundant number, since it is smaller than the sum of its proper divisors (266897617920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78334663680 is a wasteful number, since it uses less digits than its factorization.

78334663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 78334663680 in words is "seventy-eight billion, three hundred thirty-four million, six hundred sixty-three thousand, six hundred eighty".